Create Pythagorean_Triples_upto_an_Upper_Limit.py

Author: mvsg2

Diff for: Pythagorean_Triples_upto_an_Upper_Limit.py

@@ -0,0 +1,40 @@
+"""
+Pythagorean Triples are quite unique in the mathematics of algebra and geometry (for aspiring high schoolers and professional mathematicians alike).
+Any triplets x, y, and z or tuples (x, y, z) from the set of natural numbers which satisfy the property that x² + y² = z² are called Pythagorean Triples. 
+
+Argument(s): None
+Returns: pythagorean triples (tuples of integers)
+
+NOTE: This function only deals with integers. When floats are given, it may throw errors/exceptions. 
+"""
+
+# Defining the function to return all the Pythagorean Triples up until a certain upper limit.
+def PythagoreanTriples():
+    limit = int(input("Enter the limit: "))
+    while True:
+        if (limit > 0):
+            break
+        else:
+            print("Oh no! The number has to be positive.. Try again.")
+            limit = int(input("Enter the limit: "))
+            
+    c = 0
+    m = 2
+    
+    print("The Pythagorean triples upto %s are:"%str(limit))
+    triples = []
+    while(c < limit):
+        for n in range(1, m):
+            a = m**2 - n**2
+            b = 2*m*n
+            c = m**2 + n**2
+            if (c > limit):
+                break
+            triples.append((a,b,c))
+            print(a, b, c)
+        m += 1
+    return triples
+  
+if __name__ == "__main__":
+    my_triples = PythagoreanTriples()
+    print(f'There are {len(my_triples)} triples.')